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Simplifying 4(3z + -3) = 9z + -7 Reorder the terms: 4(-3 + 3z) = 9z + -7 (-3 * 4 + 3z * 4) = 9z + -7 (-12 + 12z) = 9z + -7 Reorder the terms: -12 + 12z = -7 + 9z Solving -12 + 12z = -7 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -12 + 12z + -9z = -7 + 9z + -9z Combine like terms: 12z + -9z = 3z -12 + 3z = -7 + 9z + -9z Combine like terms: 9z + -9z = 0 -12 + 3z = -7 + 0 -12 + 3z = -7 Add '12' to each side of the equation. -12 + 12 + 3z = -7 + 12 Combine like terms: -12 + 12 = 0 0 + 3z = -7 + 12 3z = -7 + 12 Combine like terms: -7 + 12 = 5 3z = 5 Divide each side by '3'. z = 1.666666667 Simplifying z = 1.666666667
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